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Finding the Fourth Proportional to 486,218.31, 728,949.74 and 315,078.50

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Solution

The fourth proportional to 486,218.31, 728,949.74 and 315,078.50 is: 472,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,218.31 : 728,949.74 = 315,078.50 : x
  2. Step 2: Convert to fraction form
    486,218.31/728,949.74 = 315,078.50/x
  3. Step 3: Cross multiply
    486,218.31x = 728,949.74 × 315,078.50
  4. Step 4: Simplify right side
    486,218.31x = 229,676,387,797.54
  5. Step 5: Solve for x
    x = 229,676,387,797.54/486,218.31
  6. Step 6: Final answer
    x = 472,372.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.